Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928k |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7284480 |
Modular degree for the optimal curve |
Δ |
686412051808688128 = 211 · 78 · 115 · 192 |
Discriminant |
Eigenvalues |
2- -3 4 7+ 11+ 3 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5289403,4682118070] |
[a1,a2,a3,a4,a6] |
Generators |
[12579270:96499955:10648] |
Generators of the group modulo torsion |
j |
1386211225188258/58139411 |
j-invariant |
L |
5.9107635436062 |
L(r)(E,1)/r! |
Ω |
0.2691441290946 |
Real period |
R |
10.980665943147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81928q1 |
Quadratic twists by: -7 |